Master Ratios and Proportions: Interactive Quizzes for Year 8 Maths

Question 1

A clothing store is offering a 25% discount on all items. The original price of a shirt is £30. What will be the sale price of the shirt?

Accepted Answer

£22.50

Answer

£15

Answer

£37.50

Question 2

A recipe requires 2 cups of flour for every 1 cup of sugar. What is the ratio of flour to sugar in this recipe?

Accepted Answer

2 : 1

Answer

1 : 2

Answer

1 : 3

Answer

3 : 1

Question 3

Which method is NOT used to find the mean proportion?

Accepted Answer

Finding the difference between two extremes

Answer

Finding the third proportional

Answer

Using the formula (a * b) / c

Answer

Finding the ratio of the extremes

Question 4

The ratio of the number of boys to the number of girls in a class is 2 : 3. If there are 24 girls in the class, how many boys are there?

Accepted Answer

16

Answer

12

Answer

20

Answer

24

Question 5

A recipe requires 3 eggs for every 2 cups of flour. If you want to use 6 cups of flour, how many eggs will you need?

Accepted Answer

8

Answer

4

Answer

6

Answer

10

Question 6

A map has a scale factor of 1:200,000. If a distance on the map is 5 cm, what is the actual distance in kilometres?

Accepted Answer

100 km

Answer

10 km

Answer

1000 km

Answer

10000 km

Question 7

In a class of 15 boys and 10 girls, what is the ratio of girls to boys?

Accepted Answer

3:2

Answer

1:2

Answer

2:3

Answer

3:5

Question 8

Which of these is an example of a direct proportion?

Accepted Answer

The cost of petrol increases with the distance travelled.

Answer

The time taken to run a race increases with the distance.

Answer

The volume of water in a fish tank decreases as fish are added.

Answer

The number of people in a room decreases as the temperature rises.

Question 9

A rectangular garden is 10 meters long and 6 meters wide. What is the ratio of the length to the width?

Accepted Answer

3 out of 2

Answer

2 out of 3

Answer

5 out of 3

Answer

3 out of 5

Question 10

Simplify the following proportion : 8x = 12y

Accepted Answer

x = 2y

Answer

x = 3y

Answer

y = 2x

Answer

y = 3x

Question 11

A map has a scale of 1:25000. If the distance between two towns on the map is 6 cm, what is the actual distance between the towns?

Accepted Answer

3 km

Answer

1.5 km

Answer

4.5 km

Answer

6 km

Question 12

Which of the following is NOT a way to express a ratio?

Accepted Answer

Statement

Answer

Fraction

Answer

Decimal

Answer

Percentage

Question 13

The ratio of the number of boys to the number of girls in a class is 3:4. If there are 24 girls in the class, how many boys are there?

Accepted Answer

18

Answer

12

Answer

24

Answer

36

Question 14

A car travels 120 miles in 2 hours. What is the average speed of the car in miles per hour?

Accepted Answer

60 mph

Answer

40 mph

Answer

80 mph

Answer

100 mph

Question 15

A recipe calls for 1 cup of sugar and 2 cups of flour. What is the ratio of sugar to flour?

Accepted Answer

1:2

Answer

2:1

Answer

1:3

Answer

3:1

Question 16

A recipe requires 1 cup of flour to 2 cups of sugar. How many cups of sugar would be needed for 4 cups of flour?

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 17

A map has a scale of 1 cm : 5 km. What is the actual distance represented by 3 cm on the map?

Accepted Answer

15 km

Answer

10 km

Answer

20 km

Answer

25 km

Question 18

A bag of sweets contains 2 red sweets, 3 blue sweets, and 5 green sweets. What is the ratio of red sweets to the total number of sweets?

Accepted Answer

2:7

Answer

2:10

Answer

1:5

Answer

1:7

Question 19

A map has a scale of 1 cm to 5 km. If the distance between two towns on the map is 6 cm, what is the actual distance between the towns?

Accepted Answer

60 km

Answer

30 km

Answer

300 km

Answer

600 km

Question 20

A car travels 150 miles in 3 hours. If the car continues at the same speed, how many miles will it travel in 5 hours?

Accepted Answer

300 miles

Answer

180 miles

Answer

250 miles

Answer

375 miles

Question 21

A school has 600 students, of which 240 are girls. What is the ratio of boys to girls?

Accepted Answer

3:2

Answer

2:3

Answer

1:2

Answer

4:3

Question 22

A recipe calls for 2 cups of flour for every 1 cup of sugar. How many cups of sugar are needed to make a cake that requires 6 cups of flour?

Accepted Answer

3 cups

Answer

2 cups

Answer

6 cups

Answer

4 cups

Question 23

A scale drawing of a house has a length of 15 cm. If the actual length of the house is 12 meters, what is the scale factor?

Accepted Answer

1:800

Answer

1:600

Answer

1:1000

Answer

1:400

Question 24

A car travels 200 miles on 10 gallons of gas. What is the car's gas mileage in miles per gallon?

Accepted Answer

20 miles per gallon

Answer

10 miles per gallon

Answer

25 miles per gallon

Answer

15 miles per gallon

Question 25

A map has a scale of 1:50,000. Two towns are 6 cm apart on the map. What is the actual distance between the two towns in kilometers (km)?

Accepted Answer

3 km

Answer

6 km

Answer

12 km

Answer

1.5 km

Question 26

A rectangle is 8 cm long and 5 cm wide. What is the ratio of the length to the width?

Accepted Answer

8:5

Answer

13:5

Answer

5:8

Answer

13:8

Question 27

A map has a scale of 1:10000. What is the distance on the ground represented by 5 cm on the map?

Accepted Answer

500 m

Answer

100 m

Answer

1 km

Answer

250 m

Question 28

Which of the following is the simplified ratio of 12:24?

Accepted Answer

1:2

Answer

4:5

Answer

2:3

Answer

3:4

Question 29

Which proportion represents the statement 'The ratio of apples to oranges is 2:3'?

Accepted Answer

apples/oranges = 2/3

Answer

oranges/apples = 2/3

Answer

oranges/apples = 3/2

Answer

apples/oranges = 3/2

Question 30

The ratio of the number of boys to the number of girls in a class is 3:4. If there are 24 boys, how many girls are there?

Accepted Answer

32

Answer

27

Answer

36

Answer

18

Question 31

Which of the following ratios is equivalent to the ratio 8:12?

Accepted Answer

2:3

Answer

6:8

Answer

3:4

Answer

4:6

Question 32

Two cars travel at speeds of 60 mph and 80 mph respectively. If the first car travels 180 miles, how far will the second car travel in the same time?

Accepted Answer

240 miles

Answer

180 miles

Answer

120 miles

Answer

360 miles

Question 33

A recipe calls for 2 cups of flour for every 3 cups of sugar. How much sugar is needed if 6 cups of flour are used?

Accepted Answer

9 cups

Answer

6 cups

Answer

12 cups

Answer

4 cups

Question 34

A map has a scale of 1 cm : 5 km. If two towns on the map are 8 cm apart, what is the actual distance between the towns?

Accepted Answer

40 km

Answer

5 km

Answer

8 km

Answer

16 km

Question 35

A car travels 120 miles in 2 hours. What is the average speed of the car?

Accepted Answer

60 mph

Answer

120 mph

Answer

30 mph

Answer

240 mph

Question 36

A farmer has 120 sheep and 60 cows. What is the ratio of sheep to cows?

Accepted Answer

2:1

Answer

3:1

Answer

1:2

Answer

1:3

Question 37

A recipe for 12 cookies requires 2 cups of flour. How many cups of flour would you need to make 24 cookies?

Accepted Answer

4 cups

Answer

6 cups

Answer

3 cups

Answer

1 cup

Question 38

A map has a scale of 1:50,000. If the distance between two towns on the map is 5cm, what is the actual distance between the towns?

Accepted Answer

2.5km

Answer

500m

Answer

25km

Answer

50km

Question 39

Which of the following ratios is equivalent to 4:5?

Accepted Answer

8:10

Answer

6:7

Answer

2:3

Answer

1:2

Question 40

A recipe for fruit salad calls for 2 parts strawberries, 3 parts blueberries, and 1 part raspberries. If you want to make a fruit salad with 12 strawberries, how many blueberries would you need?

Accepted Answer

18

Answer

24

Answer

9

Answer

6

Question 41

A recipe for 12 cookies requires 2 cups of flour. How much flour is needed for 36 cookies?

Accepted Answer

6 cups

Answer

8 cups

Answer

4 cups

Answer

3 cups

Question 42

The ratio of boys to girls in a class is 3:5. If there are 15 girls, how many boys are there?

Accepted Answer

9

Answer

12

Answer

6

Answer

25

Question 43

A map has a scale of 1:50,000. If two towns are 10 cm apart on the map, what is the actual distance between them?

Accepted Answer

5 km

Answer

50 km

Answer

1 km

Answer

500 km

Question 44

Simplify the ratio 12:18 to its simplest form.

Accepted Answer

2:3

Answer

4:6

Answer

3:2

Answer

6:9

Question 45

A car travels 120 miles in 2 hours. What is its average speed?

Accepted Answer

60 miles per hour

Answer

240 miles per hour

Answer

120 miles per hour

Answer

30 miles per hour

Question 46

A rectangle has a length of 8 cm and a width of 5 cm. What is the ratio of its length to its width?

Accepted Answer

8:5

Answer

1:3

Answer

5:8

Answer

3:5

Question 47

A recipe calls for 3 parts flour to 2 parts sugar. If you use 9 cups of flour, how much sugar do you need?

Accepted Answer

6 cups

Answer

4.5 cups

Answer

3 cups

Question 48

A model train is built to a scale of 1:87. If the real train is 26.1 meters long, how long is the model train?

Accepted Answer

30 cm

Answer

3 cm

Answer

300 cm

Answer

2.61 cm

Question 49

Which of the following ratios is equivalent to 4:5?

Accepted Answer

8:10

Answer

2:3

Answer

5:4

Question 50

A fruit bowl contains 4 apples, 3 oranges, and 2 bananas. What is the ratio of apples to the total number of fruits?

Accepted Answer

4:9

Answer

2:9

Answer

3:4

Answer

4:3